Numerical Strategies for Solving Multiparameter Spectral Problems

被引：3

作者：

Amodio, Pierluigi ^{[1
]}

Settanni, Giuseppina ^{[1
]}

机构：

[1] Univ Bari Aldo Moro, Dipartimento Matemat, Bari, Italy

来源：

NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS, PT II | 2020年 / 11974卷

关键词：

Multiparameter spectral problems; High order methods; Finite difference schemes;

D O I：

10.1007/978-3-030-40616-5_23

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We focus on the solution of multiparameter spectral problems, and in particular on some strategies to compute coarse approximations of selected eigenparameters depending on the number of oscillations of the associated eigenfunctions. Since the computation of the eigenparameters is crucial in codes for multiparameter problems based on finite differences, we herein present two strategies. The first one is an iterative algorithm computing solutions as limit of a set of decoupled problems (much easier to solve). The second one solves problems depending on a parameter sigma is an element of [0, 1], that give back the original problem only when sigma = 1. We compare the strategies by using well known test problems with two and three parameters.

引用

页码：298 / 305

页数：8

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